Academic Journal
Existence and multiplicity of solutions for a critical system involving a biharmonic and p-Laplacian operator.
| Τίτλος: | Existence and multiplicity of solutions for a critical system involving a biharmonic and p-Laplacian operator. |
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| Συγγραφείς: | Carlos, R. D.1 (AUTHOR) mathdiaz.unb@gmail.com, Salirrosas, S. M. A.2 (AUTHOR) semaarsa@gmail.com |
| Πηγή: | Zeitschrift für Angewandte Mathematik und Physik (ZAMP). Aug2026, Vol. 77 Issue 8, p1-29. 29p. |
| Θεματικοί όροι: | *Biharmonic functions, *Multiplicity (Mathematics), *Elliptic equations, *Laplacian operator, *Elliptic differential equations, *Variational approach (Mathematics) |
| Περίληψη: | This paper is concerned with the existence of a ground state solution for the following class of elliptic Kirchhoff–Boussinesq-type problems given by Δ (a (ε x) Δ u) - Δ p u + u = Q u (u , v) + 1 2 ∗ K u (u , v) in R N , Δ (b (ε x) Δ v) - Δ p v + v = Q v (u , v) + 1 2 ∗ K v (u , v) in R N , u , v ∈ H 2 (R N) , where ε > 0 , 2 < p < 2 ∗ = 2 N N - 2 , 2 ∗ = 2 N N - 4 and N ≥ 5 . We establish the existence of a ground state solution for the critical system by employing variational methods, and we prove the multiplicity of solutions through the Ljusternik–Schnirelmann category. [ABSTRACT FROM AUTHOR] |
| Βάση Δεδομένων: | Academic Search Index |
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